Local structure of hyperkaehler singularities in O'Grady's examples
代数几何
2007-05-23 v2
摘要
We study the local structure of the singularity in the moduli space of sheaves on a K3 surface which has been resolved by K O'Grady in his construction of new examples of hyperkaehler manifolds. In particular, we identify the singularity with the closure of a certain nilpotent orbit in the coadjoint representation of the group . We also prove that the moduli spaces for some other sets of numerical parameters do not admit a smooth symplectic resolution of singularities.
引用
@article{arxiv.math/0405575,
title = {Local structure of hyperkaehler singularities in O'Grady's examples},
author = {D. Kaledin and M. Lehn},
journal= {arXiv preprint arXiv:math/0405575},
year = {2007}
}
备注
28 pages, LaTeX2e. Final version, to appear in MMJ